Adaptive Beamforming in an Impulsive Noise Environment Using Matrix Completion - 2018


In this letter, a brand new approach is presented for sturdy adaptive beamforming in an impulsive noise environment. Within the proposed technique, the Hampel identifier is first applied to spot and trim the entries contaminated by impulsive noise in the information matrix. Then, the trimmed information matrix is utilised to estimate the noise-free knowledge matrix by exploiting its low-rank structure with the matrix completion technology. In order to cope with the errors introduced throughout the matrix completion process, the beamformer weight vector is obtained by optimizing the worst-case performance. Comparing with existing ways, the proposed approach does not need the priori info of the impulsive noise. Moreover, it recovers the contaminated knowledge instead of simply discarding or normalizing them. Furthermore, errors caused by imperfect recovery are taken into consideration. By enjoying these advantages simultaneously, the proposed approach is capable of achieving the next signal-to-interference-and-noise ratio. Numerical examples are meted out to demonstrate its performance in different scenarios.

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